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Finding the Fourth Proportional to 1,106.10, 1,658.42 and 528.66

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Solution

The fourth proportional to 1,106.10, 1,658.42 and 528.66 is: 792.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,106.10 : 1,658.42 = 528.66 : x
  2. Step 2: Convert to fraction form
    1,106.10/1,658.42 = 528.66/x
  3. Step 3: Cross multiply
    1,106.10x = 1,658.42 × 528.66
  4. Step 4: Simplify right side
    1,106.10x = 876,740.32
  5. Step 5: Solve for x
    x = 876,740.32/1,106.10
  6. Step 6: Final answer
    x = 792.64

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.